Series Solutions of High-Dimensional Fractional Differential Equations

Jing Chang, Jin Zhang and Ming Cai
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Jing Chang: College of Information Technology, Jilin Agricultural University, Changchun 130118, China
Jin Zhang: School of Mathematics, Jilin University, Changchun 130012, China
Ming Cai: School of Mathematics and Statistics, Northeast Normal University, Changchun 130024, China

Mathematics, 2021, vol. 9, issue 17, 1-21

Abstract: In the present paper, the series solutions and the approximate solutions of the time–space fractional differential equations are obtained using two different analytical methods. One is the homotopy perturbation Sumudu transform method (HPSTM), and another is the variational iteration Laplace transform method (VILTM). It is observed that the approximate solutions are very close to the exact solutions. The solutions obtained are very useful and significant to analyze many phenomena, and the solutions have not been reported in previous literature. The salient feature of this work is the graphical presentations of the third approximate solutions for different values of order ? .

Keywords: homotopy perturbation Sumudu transform method; variational iteration Laplace transform method; fractional differential equation (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
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